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Finding the Fourth Proportional to 5,596.56, 8,392.75 and 1,646.73

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Solution

The fourth proportional to 5,596.56, 8,392.75 and 1,646.73 is: 2,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.56 : 8,392.75 = 1,646.73 : x
  2. Step 2: Convert to fraction form
    5,596.56/8,392.75 = 1,646.73/x
  3. Step 3: Cross multiply
    5,596.56x = 8,392.75 × 1,646.73
  4. Step 4: Simplify right side
    5,596.56x = 13,820,589.09
  5. Step 5: Solve for x
    x = 13,820,589.09/5,596.56
  6. Step 6: Final answer
    x = 2,469.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.